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We study theoretically the spin fluctuations of nuclei in quantum dots. We employ the central spin model which accounts for the hyperfine interaction of the nuclei with the electron spin. We present an analytical solution in the frame of…

Mesoscale and Nanoscale Physics · Physics 2018-07-02 Nina Fröhling , Frithjof B. Anders , Mikhail Glazov

The main source of decoherence for an electron spin confined to a quantum dot is the hyperfine interaction with nuclear spins. To analyze this process theoretically we diagonalize the central spin Hamiltonian in the high magnetic B-field…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 Oleksandr Tsyplyatyev , Daniel Loss

Two-color spin-noise spectroscopy of interacting electron spins in singly charged semiconductor quantum dots provides information on the inter quantum dot interactions. We investigate the spin cross-correlation function in a quantum dot…

Mesoscale and Nanoscale Physics · Physics 2022-04-20 Andreas Fischer , Iris Kleinjohann , Nikolai A. Sinitsyn , Frithjof B. Anders

We review spin properties of semiconductor quantum dots and their effect on optical spectra. Photoluminescence and other types of spectroscopy are used to probe neutral and charged excitons in individual quantum dots with high spectral and…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Allan S. Bracker , Daniel Gammon , Vladimir L. Korenev

A set of theoretical results [1-10] is reviewed, which concern calculations of energy spectra, density of energy levels, spin polarization, transport and optical properties (infrared absorption, luminescence) of semiconductor quantum dots…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Augusto Gonzalez

For spin-based quantum computation in semiconductors, dephasing of electron spins by a fluctuating background of nuclear spins is a main obstacle. Here we show that this nuclear background can be precisely controlled in generic quantum dots…

Mesoscale and Nanoscale Physics · Physics 2019-06-19 Sergej Markmann , Christian Reichl , Werner Wegscheider , Gian Salis

We review and summarize recent theoretical and experimental work on electron spin dynamics in quantum dots and related nanostructures due to hyperfine interaction with surrounding nuclear spins. This topic is of particular interest with…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 John Schliemann , Alexander Khaetskii , Daniel Loss

Hyperfine interaction of electron spins with nuclear spins, in coupled double quantum dots is studied. Results of successive electron spin measurements exhibit bunching due to correlations induced via the nuclear spins. Further nuclear…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ozgur Cakir , Toshihide Takagahara

Spectral density of quantum Ising model in two fields for large but finite number of spins $N$, is discussed in detail. When all coupling constants are of the same order, spectral densities in the bulk are well approximated by a Gaussian…

Mathematical Physics · Physics 2014-02-28 Y. Y. Atas , E. Bogomolny

The interplay of optical driving and hyperfine interaction between an electron confined in a quantum dot and its surrounding nuclear spin environment produces a range of interesting physics such as mode-locking. In this work, we go beyond…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 Arian Vezvaee , Gargee Sharma , Sophia E. Economou , Edwin Barnes

Motivated by recent interest in the role of the hyperfine interaction in quantum dots we study the dynamics of a localized electron spin coupled to many nuclei. An important feature of the model is that the coupling to an individual nuclear…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Sigurdur I. Erlingsson , Yuli V. Nazarov

We study an observable-based notion of equilibration and its application to realistic systems like spin qubits in quantum dots. On the basis of the so-called distinguishability, we analytically derive general equilibration bounds, which we…

Mesoscale and Nanoscale Physics · Physics 2015-10-27 Daniel Hetterich , Moritz Fuchs , Björn Trauzettel

We have investigated the dynamics of the electron-nuclei coupled system in quantum dots. The bunching of results of the electron spin measurements and the revival in the conditional probabilities are salient features of the nuclear spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ozgur Cakir , Toshihide Takagahara

We introduce an integrable model of spin-polarized interacting electrons subject to a spin-conserving spin-orbit interaction. Using Bethe Ansatz and conformal field theory we calculate the exact large-time single-electron and density…

Strongly Correlated Electrons · Physics 2014-06-03 A. A. Zvyagin , H. Johannesson

The design and study of hybrid qubits is driven by their ability to get along the best of charge qubits and of spin qubits, {\em i.e.} the speed of operation of the former and the very slow decoherence rates of the latter ones. There are…

Quantum Physics · Physics 2015-03-30 Alba Y. Ramos , Omar Osenda

The spin fluctuations of electron and hole doped self-assembled quantum dot ensembles are measured optically in the low-intensity limit of a probe laser in absence and presence of longitudinal or transverse static magnetic fields. The…

Mesoscale and Nanoscale Physics · Physics 2016-06-01 P. Glasenapp , D. S. Smirnov , A. Greilich , J. Hackmann , M. M. Glazov , F. B. Anders , M. Bayer

We study electron spin decoherence in a two-electron double quantum dot due to the hyperfine interaction, under spin-echo conditions as studied in recent experiments. We develop a semi-classical model for the interaction between the…

Mesoscale and Nanoscale Physics · Physics 2011-09-07 Izhar Neder , Mark S. Rudner , Hendrik Bluhm , Sandra Foletti , Bertrand I. Halperin , Amir Yacoby

The spin of an electron trapped in a quantum dot is a promising candidate implementation of a qubit for quantum information processing. We study the central spin problem of the effect of the hyperfine interaction between such an electron…

Mesoscale and Nanoscale Physics · Physics 2007-08-29 Gang Chen , Doron L. Bergman , Leon Balents

The mesoscopic spin system formed by the 10E4-10E6 nuclear spins in a semiconductor quantum dot offers a unique setting for the study of many-body spin physics in the condensed matter. The dynamics of this system and its coupling to…

Mesoscale and Nanoscale Physics · Physics 2013-01-11 Bernhard Urbaszek , Xavier Marie , Thierry Amand , Olivier Krebs , Paul Voisin , Patrick Maletinsky , Alexander Hogele , Atac Imamoglu

A coherent ensemble of spins interfaced with a proxy qubit is an attractive platform to create many-body coherences and probe the regime of collective excitations. An electron spin qubit in a semiconductor quantum dot can act as such an…

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